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Question

A uniform sphere of weight w and radius 3 m is being held by a string of length 2 m. attached to a frictionless wall as shown in the figure. The tension in the string will be: 


Correct Answer
A
5 w/4
Your Answer
B
15 w/4
Your Answer
C
15 w/16
Your Answer
D
None of these

Solution

The correct option is A 5 w/4
By the free body diagram 


cosθ=35

sinθ=45
As sphere is at equilibrium,
Tsinθ=w
T(45)=w
T=5w4

Hence, the option A is the correct option.

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